Greatest Common Factor of 6775/253, 7212/8119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6775/253, 7212/8119

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 6775/253,7212/8119

Given fractions are 6775/253,7212/8119

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 6775,7212

Greatest Common Factor of Numerators i.e. GCF of 6775,7212 is 1 .

LCM of Denominators means LCM of 253,8119 as per the given fractions.

LCM of 253,8119 is 89309 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6775,7212

GCF of Fractions 6775/253,7212/8119 is 1/89309

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6775,7212 By Matching Biggest Common Factor Method

Greatest Common Factor of 6775,7212 By Matching Biggest Common Factor Method

Factors of 6775

List of positive integer factors of 6775 that divides 6775 without a remainder.

1,5,25,271,1355,6775

Factors of 7212

List of positive integer factors of 7212 that divides 7212 without a remainder.

1,2,3,4,6,12,601,1202,1803,2404,3606,7212

Greatest Common Factor

We found the factors 6775,7212 . The biggest common factor number is the GCF number.
So the greatest common factor 6775,7212 is 1.

Lets's calculate LCM of 253,8119

23 253, 8119
11, 353

∴ So the LCM of the given numbers is 23 x 11 x 353 = 89309

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89309

Therefore, the GCF of Fractions 6775/253,7212/8119 is 1/89309

Least Common Multiple of 253,8119 with GCF Formula

Least Common Multiple of 253,8119 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 253,8119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,8119) = 23

common factors(in case of two or more numbers have common factors) = 1

GCF(253,8119) x common factors =23 x 1 = 23

LCM(253,8119) = ( 253 × 8119 ) / 23

LCM(253,8119) = 2054107 / 23

LCM(253,8119) = 89309


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 6775/253, 7212/8119

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 6775/253, 7212/8119?

Answer: GCF of Numerators as per given numbers 6775/253, 7212/8119 is

GCF of Numerators i.e. for 6775,7212 is 1

LCM of denominators i.e. for 253,8119 is 89309.

Thus, GCF of Fractions is 1/89309.Finally, GCF of Fractions for 6775/253, 7212/8119 is 1/89309.